This video illustrates the use of scaffolding with manipulatives to teach students to group objects by tens with counting by ones.
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This video demonstrates how to use base-10 blocks to help students solve division problems that cannot be solved with automatic retrieval. The use of direct modeling with concrete manipulatives to demonstrate division allows students to visualize the division of a quantity into equal groups. Students should have multiple opportunities to practice division with manipulatives to develop an understanding of the steps for regrouping and dividing quantities into equal groups. While students may have moved on to traditional algorithms with other operations (e.g., subtraction) they may still require the use of concrete manipulatives with learning division.
This video shows how to use an area model to solve a multi-digit multiplication problem. An area model can serve as a visual representation of the partial products multiplication strategy. Using an area model may be a good option for students who have not yet gained a conceptual understanding of how regrouping works or how the partial products strategy works. The area model method can serve as a visual guide for students until they are ready to use traditional algorithms.
This video illustrates the use of manipulatives to help students integrate the concept of counting by ones with skill in grouping by tens.
This video illustrates the use of manipulatives to help students develop fluency in counting by tens and ones.
This video illustrates the use of finger counting to count by tens and ones.
This video illustrates how to use the partial quotient strategy to divide. To correctly use the partial quotient strategy, students need to have strong recall skills in division and multiplication facts. Students rely on this knowledge to partition the larger quantity that is being divided, into smaller and more manageable numbers. The partial quotient strategy is an alternative strategy for students who have not yet mastered the steps of the traditional algorithm.
This video demonstrates how to use base-10 blocks to help students solve multiplication problems that cannot be solved with automatic retrieval.
This video reviews to how use the traditional algorithm to solve multiplication with regrouping.
This video describes how to use the partial differences strategy to solve multi-digit subtraction.